Diamond is playing Yahtzee with her family. She is using five dice, numbered 1-6. What is the probability she will roll all even numbers?

 0.03125

Explanation:

There are 6 sides for any single dice. Three of those sides are even numbers {2,4,6}. The probability of getting an even number on any single dice is 3/6 = 1/2 = 0.5

With 5 dice, we just multiply 0.5 by itself 5 times. A shorthand way to write this is to use exponents

0.5*0.5*0.5*0.5*0.5 = 0.5^5 = 0.03125

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct